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  4. If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of molar specific heats for polyatomic gas (β=( C P / C v )) then the value of β is:

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Q. If one mole of the polyatomic gas is having two vibrational modes and $\beta$ is the ratio of molar specific heats for polyatomic gas $\left(\beta=\frac{ C _{ P }}{ C _{ v }}\right)$ then the value of $\beta$ is:

JEE MainJEE Main 2021Kinetic Theory

Solution:

$f =4+3+3=10$
assuming non linear
$\beta=\frac{ C _{ p }}{ C _{ v }}=1+\frac{2}{ f }=\frac{12}{10}=1.2$